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10465380 = 22325531097
BaseRepresentation
bin100111111011…
…000001100100
3201200200210200
4213323001210
510134343010
61012150500
7154645212
oct47730144
921620720
1010465380
1159a8882
123608430
132225643
141565cb2
15dbacc0
hex9fb064

10465380 has 72 divisors (see below), whose sum is σ = 32373432. Its totient is φ = 2735616.

The previous prime is 10465379. The next prime is 10465393. The reversal of 10465380 is 8356401.

10465380 is a `hidden beast` number, since 1 + 0 + 4 + 653 + 8 + 0 = 666.

10465380 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 9400356 = 1032^2 + 3066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8992 + ... + 10088.

It is an arithmetic number, because the mean of its divisors is an integer number (449631).

Almost surely, 210465380 is an apocalyptic number.

10465380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10465380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186716).

10465380 is an abundant number, since it is smaller than the sum of its proper divisors (21908052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10465380 is a wasteful number, since it uses less digits than its factorization.

10465380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10465380 is about 3235.0239566346. The cubic root of 10465380 is about 218.7350270024.

The spelling of 10465380 in words is "ten million, four hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1097 1590 1908 2194 2385 3180 3291 4388 4770 5485 6582 9540 9873 10970 13164 16455 19746 21940 32910 39492 49365 58141 65820 98730 116282 174423 197460 232564 290705 348846 523269 581410 697692 872115 1046538 1162820 1744230 2093076 2616345 3488460 5232690 10465380